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48901223664 = 24331123100799
BaseRepresentation
bin101101100010101111…
…010111010011110000
311200020000021112212000
4231202233113103300
51300122203124124
634244230534000
73350550354126
oct554257272360
9150200245760
1048901223664
1119814514137
129588b07300
1347c422a007
14251c82d916
1514131a16c9
hexb62bd74f0

48901223664 has 80 divisors (see below), whose sum is σ = 140491008000. Its totient is φ = 16285731264.

The previous prime is 48901223663. The next prime is 48901223671. The reversal of 48901223664 is 46632210984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48901223663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434737 + ... + 535535.

It is an arithmetic number, because the mean of its divisors is an integer number (1756137600).

Almost surely, 248901223664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48901223664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70245504000).

48901223664 is an abundant number, since it is smaller than the sum of its proper divisors (91589784336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48901223664 is a wasteful number, since it uses less digits than its factorization.

48901223664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101939 (or 101927 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 48901223664 in words is "forty-eight billion, nine hundred one million, two hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1123 2246 3369 4492 6738 8984 10107 13476 17968 20214 26952 30321 40428 53904 60642 80856 100799 121284 161712 201598 242568 302397 403196 485136 604794 806392 907191 1209588 1612784 1814382 2419176 2721573 3628764 4838352 5443146 7257528 10886292 14515056 21772584 43545168 113197277 226394554 339591831 452789108 679183662 905578216 1018775493 1358367324 1811156432 2037550986 2716734648 3056326479 4075101972 5433469296 6112652958 8150203944 12225305916 16300407888 24450611832 48901223664